What is expand 9(x+δx)^3 ?

The solution to expand 9(x+δx)^3 is 9x^3+27δx^3+27δ^2x^3+9δ^3x^3

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expand 9(x+δx)^3

expand

9 (x + δ x)^{3}

9 x^{3} + 27 δ x^{3} + 27 δ^{2} x^{3} + 9 δ^{3} x^{3}

Solution steps

9 (x + δ x)^{3}

(x + δ x)^{3} = x^{3} + 3 δ x^{3} + 3 δ^{2} x^{3} + δ^{3} x^{3}

= 9 (x^{3} + 3 δ x^{3} + 3 δ^{2} x^{3} + δ^{3} x^{3})

Distribute parentheses

= 9 x^{3} + 9 \cdot 3 δ x^{3} + 9 \cdot 3 δ^{2} x^{3} + 9 δ^{3} x^{3}

Multiply the numbers:

9 \cdot 3 = 27

= 9 x^{3} + 27 δ x^{3} + 27 δ^{2} x^{3} + 9 δ^{3} x^{3}

10 (x + 2 (e^{- 0.5 x} - 1)) - 0.2 x^{2}

\frac{x}{( 3 x ^{2} - 4 ) ^{4}}

(2 e^{3 t}) (x - 1)

2 π ((x + 1) (sin (x)) + cos (x))

\frac{1}{s ^{2} ( x + 4 ) ^{2}}

What is expand 9(x+δx)^3 ?
The solution to expand 9(x+δx)^3 is 9x^3+27δx^3+27δ^2x^3+9δ^3x^3